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Finding the Fourth Proportional to 17,716.26, 24,449.55 and 9,758.48

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Solution

The fourth proportional to 17,716.26, 24,449.55 and 9,758.48 is: 13,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.26 : 24,449.55 = 9,758.48 : x
  2. Step 2: Convert to fraction form
    17,716.26/24,449.55 = 9,758.48/x
  3. Step 3: Cross multiply
    17,716.26x = 24,449.55 × 9,758.48
  4. Step 4: Simplify right side
    17,716.26x = 238,590,444.68
  5. Step 5: Solve for x
    x = 238,590,444.68/17,716.26
  6. Step 6: Final answer
    x = 13,467.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.